Determinant of Matrix by Order Condensation
Feng Cheng Chang *
Allwave Corporation, Torrance, California, USA.
*Author to whom correspondence should be addressed.
Abstract
A simple and direct process is derived to compute the determinant of any square matrix of high order. The approach involves successive applying the matrix order condensation algorithm. A computer program listing in MATLAB is included and examples for finding the determinant of a given 7x7 matrix are given here for illustration.
Keywords: Matrix determinant, matrix inversion, co-factor expansion, QR decomposition, gauss elimination, polynomial division